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Finding the Fourth Proportional to 463,101.30, 694,702.98 and 147,485.61

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Solution

The fourth proportional to 463,101.30, 694,702.98 and 147,485.61 is: 221,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,101.30 : 694,702.98 = 147,485.61 : x
  2. Step 2: Convert to fraction form
    463,101.30/694,702.98 = 147,485.61/x
  3. Step 3: Cross multiply
    463,101.30x = 694,702.98 × 147,485.61
  4. Step 4: Simplify right side
    463,101.30x = 102,458,692,774.12
  5. Step 5: Solve for x
    x = 102,458,692,774.12/463,101.30
  6. Step 6: Final answer
    x = 221,244.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.